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Finding the Fourth Proportional to 25,474.80, 38,216.04 and 7,946

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Solution

The fourth proportional to 25,474.80, 38,216.04 and 7,946 is: 11,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474.80 : 38,216.04 = 7,946 : x
  2. Step 2: Convert to fraction form
    25,474.80/38,216.04 = 7,946/x
  3. Step 3: Cross multiply
    25,474.80x = 38,216.04 × 7,946
  4. Step 4: Simplify right side
    25,474.80x = 303,664,653.84
  5. Step 5: Solve for x
    x = 303,664,653.84/25,474.80
  6. Step 6: Final answer
    x = 11,920.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.